Abstract
Yang's $R$-gauge formulation of self-dual SU(2) gauge fields is extended to the $\mathrm{SU}(N)$ gauge group. A simple and computationally useful expression for the Chern density is exhibited. For $N=3$ the self-duality equations are given explicitly along with a Backlund-type transformation for generating "new" self-dual gauge fields from old ones. No attempt is made to resolve the severe singularity structure of these "new" gauge fields which preclude any physical interpretation.
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